Liverpool’s interest is unsurprising, given that sporting director Richard Hughes joined the Reds from the Cherries.
They are also looking at Bournemouth duo Dean Huijsen and left-back Milos Kerkez, although they face stiff competition for all of them.
Bournemouth are a victim of their success and will likely be raided for their top talents after punching above their weight this season.
Semenyo could leave the Vitality Stadium this summer, although it is unclear if Liverpool will bring him to Anfield at this juncture.
Liverpool are prioritising the centre-forward and left-back positions, which means a move for Semenyo may take a backseat until they have settled those areas.
However, if Luis Diaz leaves this summer, Liverpool could swoop for Semenyo.
Diaz, who has recorded 28 Premier League goals and 15 assists in 100 appearances, is attracting serious interest from Barcelona and the Saudi Pro League.
He wanted to join Barcelona last summer, and rumours of Saudi interest refuse to go away. Should he leave, Liverpool will need reinforcements on the flanks.
Summer signing Federico Chiesa, who spent much of the season sidelined, looks set to return to Italy.